Q: What are the factor combinations of the number 323,373,559?

 A:
Positive:   1 x 32337355919 x 17019661241 x 13417994579 x 70621
Negative: -1 x -323373559-19 x -17019661-241 x -1341799-4579 x -70621


How do I find the factor combinations of the number 323,373,559?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 323,373,559, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 323,373,559
-1 -323,373,559

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 323,373,559.

Example:
1 x 323,373,559 = 323,373,559
and
-1 x -323,373,559 = 323,373,559
Notice both answers equal 323,373,559

With that explanation out of the way, let's continue. Next, we take the number 323,373,559 and divide it by 2:

323,373,559 ÷ 2 = 161,686,779.5

If the quotient is a whole number, then 2 and 161,686,779.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 323,373,559
-1 -323,373,559

Now, we try dividing 323,373,559 by 3:

323,373,559 ÷ 3 = 107,791,186.3333

If the quotient is a whole number, then 3 and 107,791,186.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 323,373,559
-1 -323,373,559

Let's try dividing by 4:

323,373,559 ÷ 4 = 80,843,389.75

If the quotient is a whole number, then 4 and 80,843,389.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 323,373,559
-1 323,373,559
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1192414,57970,6211,341,79917,019,661323,373,559
-1-19-241-4,579-70,621-1,341,799-17,019,661-323,373,559

More Examples

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